Selected Publications and Papers
Seminar Talks at UA (followed by) at UR
- Model theory and Diophantine geometry
- Computation, algebraicity, and transcendence
- ABC conjecture
- Child's drawings and curves over number fields
- Codes and curves with many rational points
- Continued fractions and exponential
- Finite automata and algebraic power series
- Old and new approaches to Fermat's last theorem
- Baker functions and Gauss sums
- Diophantine approximation exponents
- L-values, periods and Mahler measure
- Recognizing primes in polynomial time (Colloquium)
- Discriminants, class numbers and composition laws
- Proof of Catalan conjecture
- Absolute Galois group of rationals and Grothendieck-Teichmuller group
- Multizeta and Ihara Power series for function fields
- Introduction to rigid analysis and Tate curves
- Higher Diophantine approximation exponents for function fields
- Bernoulli numbers and class groups in function fields
- Modular forms and modular symbols in function fields
- Higher congruences, derivatives and zeta values (Colloquium)
- Fermat-Wilson congruences for function fields and number fields (UR)
- Power sums of polynomials, generalizations and applications (UR)
- Schmidt subspace theorem and automatic real numbers (UR)
- Surprising symmetries in distribution of prime polynomials (UR)
- Infinite families of finite dynamical systems (UR)
- Mordell-Weil ranks of elliptic curves (UR)
- Function Field Arithmetic, I and II (UR)
Outreach
- Participated in Cryptography related outreach activities of the
Southwest Regional Institute in Mathematical Sciences.
- Participating in Arizona Winter School since its inception
- Participating in training workshops for Olympiad and graduate students
in India